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3 years ago

Triangle PQR has two known interior angles of 24°, and 100°.

Mathematics

2 answers:

Anna [14]3 years ago

7 0

Answer:

D. The triangles are similar.

Step-by-step explanation:

Two triangles are similar if all 3 angles of one triangle are congruent to all 3 angles of the other triangle.

In triangle PQR, the two known angles are 24° and 100°. Since the sum of the measures of the angles of a triangle is always 180°, this makes the missing angle

180-(24+100) = 180-124 = 56°

In triangle RST, the two known angles are 24° and 56°. This makes the missing angle

180-(24+56) = 180-80 = 100°

This means all 3 angles in PQR are congruent to all 3 angles in RST; this means the triangles are similar.

Tamiku [17]3 years ago

3 0

180-24=5
180-56=34
Both are equal
D

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By what number should 1 1/2 be divided to get 2/3 ? *

andrew-mc [135]

Answer:

Step-by-step explanation:

1) The equation is 1 1/2 ÷ x = 2/3

2) You can multiply 2/3 with 1 1/2 to get your answer

3) 2/3 × 1 1/2 = 1

Hope this helps!

4 0

3 years ago

Given f(x) = the quantity of 2x minus 2 divided by 4, solve for f−1(3).

spin [16.1K]

Given: f(x)=(2x-2)/4
find f^-1(3)?
we need to find the inverse of f(x), so
x=(2y-2)/4
2y-2=4x
y-1=2x
y=2x+1
so, then f^-1(x)=2x+1
f^-1(3)=2(3)+1
=6+1
=7
so, the answer is 7

6 0

3 years ago

The county fair charges $1.25 per ticket for the rides. Jermaine bought 25 tickets for the rides and spent a total of $43.75 at

aniked [119]

Hello Anna,

(a)

1.25 per ticket

? number of rides (x)

43.75 total cost (y)

Admission (z)

(b) Linear Equation - 1.25x + z = y

8 0

3 years ago

Help with Pre Calculus

marshall27 [118]

Answer:

The first option

Step-by-step explanation:

The domain of a rational function should be all real numbers except for when the denominator is equal to 0. To find when the denominator is equal to 0 you simply need to find the zeroes of the denominator... but in this case you can do that through factoring and using the quadratic equation.

So first step is going to be to factor out the GCF, which in this case is x. This gives you the equation. $x(2x^2-x-15)$ . So one of the zeroes is when x=0. Now to find the other two zeroes you can use the quadratic equation which is $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\$ . So to find the other zeroes you simply plug the values in. a=2, b=-1, c=-15

$x=\frac{-(-1)\pm\sqrt{(-1)^2-4(2)(-15)}}{2(2)}\\\\x=\frac{1\pm\sqrt{1-4(2)(-15)}}{4}\\\\x=\frac{1\pm\sqrt{121)}}{4}\\\\x=\frac{1\pm11}{4}\\\\x=\frac{12}{4}\\x=3\\\\x=\frac{-10}{4}\\x=-\frac{5}{2}$

4 0

2 years ago

Find the volume of 20m, 5m, 18m

HACTEHA [7]

Answer:

600 m³

Step-by-step explanation:

The shape we have is a rectangular pyramid:

Formula:<u><em> (volume of a rectangular pyramid)</em></u>

Volume = (1/3) × Base Area × height

___________________________

In our case :

Base area = L × W = 20 × 18 = 360 m²

height = 5 m

⇒ Volume = (1/3) × Base Area × height

$\Longrightarrow \text{volume} \ =\ \frac{1}{3} \times 360\times 5$

$\Longrightarrow \ \text{volume} \ =\ 600\ m^{3}$

7 0

2 years ago